Title: Classification of normal toric varieties over a valuation ring of rank one
Authors: Soto, Alejandro ×
Gubler, Walter #
Issue Date: 2015
Publisher: Deutsche Mathematiker Vereinigung
Series Title: Documenta Mathematica
Abstract: Normal toric varieties over a field or a discrete valuation ring are classified by rational polyhedral fans. We generalize this classification to normal toric varieties over an arbitrary valuation ring of rank one. The proof is based on a generalization of Sumihiro’s theorem to this non-noetherian setting. These toric varieties play an important role for tropicalizations.
ISSN: 1431-0643
Publication status: accepted
KU Leuven publication type: IT
Appears in Collections:Algebra Section
× corresponding author
# (joint) last author

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